M.1HS.15
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Example Problems
Let .
On which intervals is f increasing?
On which intervals is f increasing?
Let .
On which intervals is decreasing?
On which intervals is decreasing?
Let .
On what interval is increasing?
On what interval is increasing?
Khan Academy ResourcesSymmetry of algebraic modelsQuadratic word problems (standard form)Periodicity of algebraic modelsGraph interpretation word problemsComparing linear functions word problemsInterpret parabolas in contextEnd behavior of algebraic modelsInterpret a quadratic graphLinear models word problemsLinear equations word problems: graphsQuadratic word problems (vertex form)Quadratic word problems (factored form)Connecting exponential graphs with contextsQuadratic word problem: ballModeling with linear equations: snowLinear equations word problems: earningsLinear graphs word problemsComparing linear functions word problem: workPeriodicity of algebraic modelsEnd behavior of algebraic modelsSymmetry of algebraic modelsComparing linear functions word problem: climbQuadratic word problems (vertex form)Linear equations word problems: volcanoAnalyzing tables of exponential functionsLinear graphs word problem: catsQuadratic word problems (factored form)Graph interpretation word problem: temperatureAnalyzing graphs of exponential functionsComparing linear functions word problem: walkAnalyzing graphs of exponential functions: negative initial valueGraph interpretation word problem: basketballInterpret a quadratic graph

1-on-1 AI tutoring aligned to M.1HS.15. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →